lunar theory (5 risultati)

(London, Richard Taylor, 1834) 4to. No wrappers as extracted from "Philosophical Transactions" 1834 - Part I. Pp. 123-126 a. pp. 127-141. First appearance of Lubbock's "Lunar-Theory"John Lubbock (1803-65), was an astronomer and mathematician. He made a special study of tides and of the lunar theory and developed a method for calculating the orbits of comets and planets. In mathematics he applied the theory of probability to life insurance problems.".

(Berlin, Haude et Spener, 1751). 4to. No wrappers, as issued in "Mémoires de l'Academie Royale des Sciences et Belles-Lettres", tome V, Année 1749, pp. 339-372, 1 folded geometrical plate (to the first paper) and 3 fine double-page folded engraved plates showing the quadrant. Kies was one of the first to propagate Newton's discoveries in Germany, and dedicated two of his works to the Englishman. The crater Kies on the Moon is named after him.The paper on the instrument describes and depicts the large quadrant in the Berlin observatory invented by Hadley (described in Transactions of the Royal Society in 1732)."From 1742 to 1754, at the recommendation of the mathematician Leonhard Euler, he (Kies) was made professor of mathematics at Berlin's Academy of Sciences and astronomer at its observatory. His reports from this time include De la Situation la plus avantageuse des planètes pour découvrir les irrégularités de leurs mouvemens, Sur les Éclipses des étoiles fixes par la lune, and Description d'un instrument qui se trouve .".

(London, Richard Taylor and William Francis, 1853) 4to. No wrappers as extracted from "Philosophical Transactions" 1853, Vol. 143. Pp. 397-406. First appearance of this importent paper by Adams, - famous for his co-discovery with Le Verrier, of Neptune in 1846 - in which he introduces new mathematical methods in dealing with the pertubations of the Moon, raising a sharp scientific controversy, and correcting Laplace's great memoir of 1788."He (Adams) was elected a fellow of Pembroke College in 1853, and shortly afterward he presented to the Royal Society a remarkable paper on the secular acceleration of the moon?s mean motion. This quantity was thought to have been definitively investigated by Pierre Simon de Laplace in 1788, but Adams showed that Laplace?s solution was incorrect. In particular, Laplace had ignored a variation in solar eccentricity that introduces into the differential equations for the moon?s motion a series of additional terms. Adams calculated the second term of the series, on which the secular acceleration depends, as 3771/64m4 the value computed from Laplace?s work was 2187/128 m4. The effect of the correction was to reduce the figure for the moon?s secular acceleration by about half, from 10?.58 to 5?.70.This paper caused a sharp scientific controversy, marked by angry chauvinism on the part of several French astronomers. Their attacks stimulated a number of independent investigations of the subject, all of which confirmed Adams? result. The matter was definitely settled in his favor by 1861, but not without hard feelings."(DSB).

(London, Richard Taylor and William Francis, 1853) 4to. No wrappers as extracted from "Philosophical Transactions" 1853, Vol. 143 - Part III. Pp. 397-406. Clean and fine. First appearance of this importent paper by Adams, - famous for his co-discovery with Le Verrier, of Neptune in 1846 - in which he introduces new mathematical methods in dealing with the pertubations of the Moon, raising a sharp scientific controversy, and correcting Laplace's great memoir of 1788."He (Adams) was elected fellow of Pembroke College in 1853, and shortly afterwards he presented to the Royal Society a remarkable paper (the paper offered) on the secular accleration of the moon's mean motion. This quantity was thought to have been definitively investigated by Pierre Simon de Laplace in 1788, but Adams showed that Laplace's solution was incorrect. In particular, Laplace had ignored a variation in solar eccentricity that introduces into the diffrential equations for the moon's motion a series of additional terms. Adams calculated the second term of series, on which the secular acceleartion depends.This paper caused a sharp scientific controversy, marked by angry chauvinism on the part of several French astronomers. Their attack stimulated a number of independent investigations of the subject, all of which confirmed Adams' results. The matter was definitely settles in his favor by 1861, but not without hard feelings."(DSB I, p. 54b).

(Berlin, Haude et Spener, 1769). 4to. No wrappers, as issued in "Mémoires de l'Academie Royale des Sciences et Belles-Lettres", tome XIX, (2 =halftitle Mémoires.),141-220. 1.memoir pp. 141-179 a. 1 enraved plate. - 2. pp. 180-193. - 3. pp. 194-220. - 4. pp. 221-234 a. 1 plate. First printing of these 4 fundamental papers on the perturbations of the moon, as Euler was the first to use of the Calculus on the motion of the moon in relation to the attractive powers of the Moon, the Earth and the Sun. The theories laid down here is also called Euler's second theory and it is the most interesting. It was of the greatest importtence as a basis for later developments."He applied his mathematics to astronomy, working out the nature of some perturbations, being in this respect the precursor of Lagrange and Laplace. He began to replace the geometric methods of proof used by Galileo and Newton with the algebraic, a tendency carried to its conclusion by Lagrange. In particular he worked on lunar theory, that is, on the analysis of the exact motion of the moon, the complications of which have been the despair of astronomers and mathematicians since the time of Kepler. - Eneström: 398, 399, 400 a. 401.